Pandas Profiling Report

Dataset statistics

Number of variables	13
Number of observations	2968
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	290.0 KiB
Average record size in memory	100.0 B

Variable types

Numeric	13

Alerts

`gross_revenue` is highly correlated with `qty_invoices` and 3 other fields	High correlation
`recency_days` is highly correlated with `qty_invoices`	High correlation
`qty_invoices` is highly correlated with `gross_revenue` and 4 other fields	High correlation
`qty_itemns` is highly correlated with `gross_revenue` and 3 other fields	High correlation
`qty_products` is highly correlated with `gross_revenue` and 2 other fields	High correlation
`avg_recency_days` is highly correlated with `frequency`	High correlation
`frequency` is highly correlated with `avg_recency_days`	High correlation
`avg_basket_size` is highly correlated with `gross_revenue` and 1 other fields	High correlation
`avg_unique_basket_size` is highly correlated with `qty_invoices`	High correlation
`gross_revenue` is highly correlated with `qty_invoices` and 1 other fields	High correlation
`qty_invoices` is highly correlated with `gross_revenue` and 2 other fields	High correlation
`qty_itemns` is highly correlated with `gross_revenue` and 1 other fields	High correlation
`qty_products` is highly correlated with `qty_invoices`	High correlation
`avg_ticket` is highly correlated with `qty_returns` and 1 other fields	High correlation
`qty_returns` is highly correlated with `avg_ticket`	High correlation
`avg_basket_size` is highly correlated with `avg_ticket`	High correlation
`gross_revenue` is highly correlated with `qty_itemns` and 1 other fields	High correlation
`qty_invoices` is highly correlated with `qty_itemns` and 1 other fields	High correlation
`qty_itemns` is highly correlated with `gross_revenue` and 3 other fields	High correlation
`qty_products` is highly correlated with `gross_revenue` and 1 other fields	High correlation
`avg_recency_days` is highly correlated with `frequency` and 1 other fields	High correlation
`frequency` is highly correlated with `avg_recency_days`	High correlation
`qty_returns` is highly correlated with `avg_recency_days`	High correlation
`avg_basket_size` is highly correlated with `qty_itemns`	High correlation
`avg_unique_basket_size` is highly correlated with `qty_invoices`	High correlation
`gross_revenue` is highly correlated with `qty_invoices` and 4 other fields	High correlation
`qty_invoices` is highly correlated with `gross_revenue` and 3 other fields	High correlation
`qty_itemns` is highly correlated with `gross_revenue` and 4 other fields	High correlation
`qty_products` is highly correlated with `gross_revenue` and 3 other fields	High correlation
`avg_ticket` is highly correlated with `qty_returns` and 1 other fields	High correlation
`qty_returns` is highly correlated with `gross_revenue` and 5 other fields	High correlation
`avg_basket_size` is highly correlated with `gross_revenue` and 4 other fields	High correlation
`avg_unique_basket_size` is highly correlated with `avg_basket_size`	High correlation
`avg_ticket` is highly skewed (γ1 = 25.1569664)	Skewed
`frequency` is highly skewed (γ1 = 24.87687084)	Skewed
`qty_returns` is highly skewed (γ1 = 21.9754032)	Skewed
`df_index` has unique values	Unique
`customer_id` has unique values	Unique
`recency_days` has 33 (1.1%) zeros	Zeros
`qty_returns` has 1481 (49.9%) zeros	Zeros

Reproduction

Analysis started	2022-05-30 21:48:50.031498
Analysis finished	2022-05-30 21:50:10.034738
Duration	1 minute and 20 seconds
Software version	pandas-profiling v3.2.0
Download configuration	config.json

df_index
Real number (ℝ_≥0)

UNIQUE

Distinct	2968
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2316.666442

Minimum	0
Maximum	5714
Zeros	1
Zeros (%)	< 0.1%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0
5-th percentile	185.35
Q1	928.5
median	2119.5
Q3	3536.25
95-th percentile	5034.3
Maximum	5714
Range	5714
Interquartile range (IQR)	2607.75

Descriptive statistics

Standard deviation	1554.722712
Coefficient of variation (CV)	0.6711033938
Kurtosis	-1.010637904
Mean	2316.666442
Median Absolute Deviation (MAD)	1270.5
Skewness	0.3426249769
Sum	6875866
Variance	2417162.71
Monotonicity	Strictly increasing

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	1	< 0.1%
3010	1	< 0.1%
2995	1	< 0.1%
2996	1	< 0.1%
2999	1	< 0.1%
3000	1	< 0.1%
3001	1	< 0.1%
3002	1	< 0.1%
3005	1	< 0.1%
3007	1	< 0.1%
Other values (2958)	2958	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1	< 0.1%
1	1	< 0.1%
2	1	< 0.1%
3	1	< 0.1%
4	1	< 0.1%
5	1	< 0.1%
6	1	< 0.1%
7	1	< 0.1%
8	1	< 0.1%
9	1	< 0.1%

Value	Count	Frequency (%)
5714	1	< 0.1%
5695	1	< 0.1%
5685	1	< 0.1%
5679	1	< 0.1%
5658	1	< 0.1%
5654	1	< 0.1%
5648	1	< 0.1%
5637	1	< 0.1%
5636	1	< 0.1%
5626	1	< 0.1%

customer_id
Real number (ℝ_≥0)

UNIQUE

Distinct	2968
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	15270.37702

Minimum	12347
Maximum	18287
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	11.7 KiB

Quantile statistics

Minimum	12347
5-th percentile	12619.35
Q1	13798.75
median	15220.5
Q3	16768.5
95-th percentile	17964.65
Maximum	18287
Range	5940
Interquartile range (IQR)	2969.75

Descriptive statistics

Standard deviation	1719.144523
Coefficient of variation (CV)	0.1125803587
Kurtosis	-1.206178196
Mean	15270.37702
Median Absolute Deviation (MAD)	1489
Skewness	0.03219371129
Sum	45322479
Variance	2955457.892
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
17850	1	< 0.1%
12670	1	< 0.1%
17734	1	< 0.1%
14905	1	< 0.1%
16103	1	< 0.1%
14626	1	< 0.1%
14868	1	< 0.1%
18246	1	< 0.1%
17115	1	< 0.1%
16611	1	< 0.1%
Other values (2958)	2958	99.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
12347	1	< 0.1%
12348	1	< 0.1%
12352	1	< 0.1%
12356	1	< 0.1%
12358	1	< 0.1%
12359	1	< 0.1%
12360	1	< 0.1%
12362	1	< 0.1%
12364	1	< 0.1%
12370	1	< 0.1%

Value	Count	Frequency (%)
18287	1	< 0.1%
18283	1	< 0.1%
18282	1	< 0.1%
18277	1	< 0.1%
18276	1	< 0.1%
18274	1	< 0.1%
18273	1	< 0.1%
18272	1	< 0.1%
18270	1	< 0.1%
18269	1	< 0.1%

gross_revenue
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	2953
Distinct (%)	99.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	2693.485061

Minimum	6.2
Maximum	279138.02
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	6.2
5-th percentile	229.7325
Q1	570.845
median	1085.51
Q3	2306.905
95-th percentile	7169.562
Maximum	279138.02
Range	279131.82
Interquartile range (IQR)	1736.06

Descriptive statistics

Standard deviation	10135.46528
Coefficient of variation (CV)	3.762955818
Kurtosis	397.3013221
Mean	2693.485061
Median Absolute Deviation (MAD)	670.84
Skewness	17.63537227
Sum	7994263.66
Variance	102727656.5
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1078.96	2	0.1%
2053.02	2	0.1%
331	2	0.1%
1353.74	2	0.1%
889.93	2	0.1%
745.06	2	0.1%
379.65	2	0.1%
2092.32	2	0.1%
731.9	2	0.1%
734.94	2	0.1%
Other values (2943)	2948	99.3%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
6.2	1	< 0.1%
13.3	1	< 0.1%
15	1	< 0.1%
36.56	1	< 0.1%
45	1	< 0.1%
52	1	< 0.1%
52.2	1	< 0.1%
52.2	1	< 0.1%
62.43	1	< 0.1%
68.84	1	< 0.1%

Value	Count	Frequency (%)
279138.02	1	< 0.1%
259657.3	1	< 0.1%
194550.79	1	< 0.1%
140450.72	1	< 0.1%
124564.53	1	< 0.1%
117379.63	1	< 0.1%
91062.38	1	< 0.1%
72882.09	1	< 0.1%
66653.56	1	< 0.1%
65039.62	1	< 0.1%

recency_days
Real number (ℝ_≥0)

HIGH CORRELATION
ZEROS

Distinct	272
Distinct (%)	9.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	64.30929919

Minimum	0
Maximum	373
Zeros	33
Zeros (%)	1.1%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0
5-th percentile	2
Q1	11
median	31
Q3	81
95-th percentile	242
Maximum	373
Range	373
Interquartile range (IQR)	70

Descriptive statistics

Standard deviation	77.76092244
Coefficient of variation (CV)	1.209170733
Kurtosis	2.776517247
Mean	64.30929919
Median Absolute Deviation (MAD)	26
Skewness	1.798052889
Sum	190870
Variance	6046.761059
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1	99	3.3%
4	87	2.9%
2	85	2.9%
3	85	2.9%
8	76	2.6%
10	67	2.3%
9	66	2.2%
7	66	2.2%
17	64	2.2%
16	55	1.9%
Other values (262)	2218	74.7%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	33	1.1%
1	99	3.3%
2	85	2.9%
3	85	2.9%
4	87	2.9%
5	43	1.4%
7	66	2.2%
8	76	2.6%
9	66	2.2%
10	67	2.3%

Value	Count	Frequency (%)
373	2	0.1%
372	4	0.1%
371	1	< 0.1%
368	1	< 0.1%
366	4	0.1%
365	2	0.1%
364	1	< 0.1%
360	1	< 0.1%
359	1	< 0.1%
358	4	0.1%

qty_invoices
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	56
Distinct (%)	1.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	5.724393531

Minimum	1
Maximum	206
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	1
Q1	2
median	4
Q3	6
95-th percentile	17
Maximum	206
Range	205
Interquartile range (IQR)	4

Descriptive statistics

Standard deviation	8.857759893
Coefficient of variation (CV)	1.547370886
Kurtosis	190.7862392
Mean	5.724393531
Median Absolute Deviation (MAD)	2
Skewness	10.76555481
Sum	16990
Variance	78.45991032
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
2	784	26.4%
3	499	16.8%
4	393	13.2%
5	237	8.0%
1	190	6.4%
6	173	5.8%
7	138	4.6%
8	98	3.3%
9	69	2.3%
10	55	1.9%
Other values (46)	332	11.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	190	6.4%
2	784	26.4%
3	499	16.8%
4	393	13.2%
5	237	8.0%
6	173	5.8%
7	138	4.6%
8	98	3.3%
9	69	2.3%
10	55	1.9%

Value	Count	Frequency (%)
206	1	< 0.1%
199	1	< 0.1%
124	1	< 0.1%
97	1	< 0.1%
91	2	0.1%
86	1	< 0.1%
72	1	< 0.1%
62	2	0.1%
60	1	< 0.1%
57	1	< 0.1%

qty_itemns
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	1670
Distinct (%)	56.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	1582.104447

Minimum	1
Maximum	196844
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	102.35
Q1	296
median	640
Q3	1399.5
95-th percentile	4403.25
Maximum	196844
Range	196843
Interquartile range (IQR)	1103.5

Descriptive statistics

Standard deviation	5705.291445
Coefficient of variation (CV)	3.60614083
Kurtosis	516.7418024
Mean	1582.104447
Median Absolute Deviation (MAD)	421
Skewness	18.73765362
Sum	4695686
Variance	32550350.48
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
310	11	0.4%
150	9	0.3%
88	9	0.3%
246	8	0.3%
272	8	0.3%
84	8	0.3%
260	8	0.3%
288	8	0.3%
1200	7	0.2%
516	7	0.2%
Other values (1660)	2885	97.2%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	1	< 0.1%
2	2	0.1%
12	2	0.1%
16	1	< 0.1%
17	1	< 0.1%
18	1	< 0.1%
19	1	< 0.1%
20	1	< 0.1%
23	1	< 0.1%
25	1	< 0.1%

Value	Count	Frequency (%)
196844	1	< 0.1%
80263	1	< 0.1%
77373	1	< 0.1%
69993	1	< 0.1%
64549	1	< 0.1%
64124	1	< 0.1%
63312	1	< 0.1%
58343	1	< 0.1%
57885	1	< 0.1%
50255	1	< 0.1%

qty_products
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	468
Distinct (%)	15.8%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	122.7644879

Minimum	1
Maximum	7838
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	9
Q1	29
median	67
Q3	135
95-th percentile	382
Maximum	7838
Range	7837
Interquartile range (IQR)	106

Descriptive statistics

Standard deviation	269.9329358
Coefficient of variation (CV)	2.198786803
Kurtosis	354.7788412
Mean	122.7644879
Median Absolute Deviation (MAD)	44
Skewness	15.7061352
Sum	364365
Variance	72863.78981
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
28	43	1.4%
20	37	1.2%
35	35	1.2%
29	35	1.2%
19	34	1.1%
15	33	1.1%
11	32	1.1%
26	31	1.0%
27	30	1.0%
25	30	1.0%
Other values (458)	2628	88.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	6	0.2%
2	14	0.5%
3	15	0.5%
4	17	0.6%
5	26	0.9%
6	29	1.0%
7	18	0.6%
8	19	0.6%
9	26	0.9%
10	28	0.9%

Value	Count	Frequency (%)
7838	1	< 0.1%
5673	1	< 0.1%
5095	1	< 0.1%
4580	1	< 0.1%
2698	1	< 0.1%
2379	1	< 0.1%
2060	1	< 0.1%
1818	1	< 0.1%
1673	1	< 0.1%
1637	1	< 0.1%

avg_ticket
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
SKEWED

Distinct	2965
Distinct (%)	99.9%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	32.99425671

Minimum	2.150588235
Maximum	4453.43
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	2.150588235
5-th percentile	4.915887985
Q1	13.11811111
median	17.95344712
Q3	24.98179365
95-th percentile	90.052125
Maximum	4453.43
Range	4451.279412
Interquartile range (IQR)	11.86368254

Descriptive statistics

Standard deviation	119.5320656
Coefficient of variation (CV)	3.622814318
Kurtosis	812.9647397
Mean	32.99425671
Median Absolute Deviation (MAD)	5.979018644
Skewness	25.1569664
Sum	97926.95393
Variance	14287.91471
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
15	2	0.1%
4.162	2	0.1%
14.47833333	2	0.1%
18.15222222	1	< 0.1%
13.92736842	1	< 0.1%
36.24411765	1	< 0.1%
29.78416667	1	< 0.1%
22.8792623	1	< 0.1%
20.51104167	1	< 0.1%
149.025	1	< 0.1%
Other values (2955)	2955	99.6%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
2.150588235	1	< 0.1%
2.4325	1	< 0.1%
2.462371134	1	< 0.1%
2.511241379	1	< 0.1%
2.515333333	1	< 0.1%
2.65	1	< 0.1%
2.656931818	1	< 0.1%
2.707598253	1	< 0.1%
2.760621572	1	< 0.1%
2.770464191	1	< 0.1%

Value	Count	Frequency (%)
4453.43	1	< 0.1%
3202.92	1	< 0.1%
1687.2	1	< 0.1%
952.9875	1	< 0.1%
872.13	1	< 0.1%
841.0214493	1	< 0.1%
651.1683333	1	< 0.1%
640	1	< 0.1%
624.4	1	< 0.1%
615.75	1	< 0.1%

avg_recency_days
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION

Distinct	1258
Distinct (%)	42.4%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	67.30213285

Minimum	1
Maximum	366
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	8
Q1	25.91730769
median	48.26785714
Q3	85.33333333
95-th percentile	200.65
Maximum	366
Range	365
Interquartile range (IQR)	59.41602564

Descriptive statistics

Standard deviation	63.50535844
Coefficient of variation (CV)	0.9435861206
Kurtosis	4.908048776
Mean	67.30213285
Median Absolute Deviation (MAD)	26.26785714
Skewness	2.066084007
Sum	199752.7303
Variance	4032.93055
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
14	25	0.8%
4	22	0.7%
70	21	0.7%
7	20	0.7%
35	19	0.6%
49	18	0.6%
11	17	0.6%
46	17	0.6%
21	17	0.6%
28	16	0.5%
Other values (1248)	2776	93.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	16	0.5%
1.5	1	< 0.1%
2	13	0.4%
2.5	1	< 0.1%
2.601398601	1	< 0.1%
3	15	0.5%
3.321428571	1	< 0.1%
3.330357143	1	< 0.1%
3.5	2	0.1%
4	22	0.7%

Value	Count	Frequency (%)
366	1	< 0.1%
365	1	< 0.1%
363	1	< 0.1%
362	1	< 0.1%
357	2	0.1%
356	1	< 0.1%
355	2	0.1%
352	1	< 0.1%
351	2	0.1%
350	3	0.1%

frequency
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
SKEWED

Distinct	1225
Distinct (%)	41.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	0.1138323742

Minimum	0.005449591281
Maximum	17
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0.005449591281
5-th percentile	0.008893504781
Q1	0.01633986928
median	0.02589835169
Q3	0.04947858264
95-th percentile	1
Maximum	17
Range	16.99455041
Interquartile range (IQR)	0.03313871336

Descriptive statistics

Standard deviation	0.4082205551
Coefficient of variation (CV)	3.586155151
Kurtosis	989.0663249
Mean	0.1138323742
Median Absolute Deviation (MAD)	0.0121968864
Skewness	24.87687084
Sum	337.8544866
Variance	0.1666440216
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
1	198	6.7%
0.0625	18	0.6%
0.02777777778	17	0.6%
0.02380952381	16	0.5%
0.09090909091	15	0.5%
0.08333333333	15	0.5%
0.03448275862	14	0.5%
0.02941176471	14	0.5%
0.03571428571	13	0.4%
0.07692307692	13	0.4%
Other values (1215)	2635	88.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.005449591281	1	< 0.1%
0.005464480874	1	< 0.1%
0.005479452055	1	< 0.1%
0.005494505495	1	< 0.1%
0.005586592179	2	0.1%
0.005602240896	1	< 0.1%
0.005617977528	2	0.1%
0.00566572238	1	< 0.1%
0.005681818182	2	0.1%
0.005698005698	3	0.1%

Value	Count	Frequency (%)
17	1	< 0.1%
3	1	< 0.1%
2	6	0.2%
1.142857143	1	< 0.1%
1	198	6.7%
0.75	1	< 0.1%
0.6666666667	3	0.1%
0.550802139	1	< 0.1%
0.5335120643	1	< 0.1%
0.5	3	0.1%

qty_returns
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
SKEWED
ZEROS

Distinct	213
Distinct (%)	7.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	34.88847709

Minimum	0
Maximum	9014
Zeros	1481
Zeros (%)	49.9%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	1
Q3	9
95-th percentile	100
Maximum	9014
Range	9014
Interquartile range (IQR)	9

Descriptive statistics

Standard deviation	282.864784
Coefficient of variation (CV)	8.107685048
Kurtosis	596.2019916
Mean	34.88847709
Median Absolute Deviation (MAD)	1
Skewness	21.9754032
Sum	103549
Variance	80012.48604
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	1481	49.9%
1	164	5.5%
2	148	5.0%
3	105	3.5%
4	89	3.0%
6	78	2.6%
5	61	2.1%
12	51	1.7%
7	43	1.4%
8	43	1.4%
Other values (203)	705	23.8%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0	1481	49.9%
1	164	5.5%
2	148	5.0%
3	105	3.5%
4	89	3.0%
5	61	2.1%
6	78	2.6%
7	43	1.4%
8	43	1.4%
9	41	1.4%

Value	Count	Frequency (%)
9014	1	< 0.1%
8004	1	< 0.1%
4427	1	< 0.1%
3768	1	< 0.1%
3332	1	< 0.1%
2878	1	< 0.1%
2022	1	< 0.1%
2012	1	< 0.1%
1776	1	< 0.1%
1594	1	< 0.1%

avg_basket_size
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	1978
Distinct (%)	66.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	236.252886

Minimum	1
Maximum	6009.333333
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	1
5-th percentile	44
Q1	103.2375
median	172.2916667
Q3	281.5480769
95-th percentile	599.58
Maximum	6009.333333
Range	6008.333333
Interquartile range (IQR)	178.3105769

Descriptive statistics

Standard deviation	283.8931966
Coefficient of variation (CV)	1.201649645
Kurtosis	102.7816879
Mean	236.252886
Median Absolute Deviation (MAD)	83.04166667
Skewness	7.701877717
Sum	701198.5657
Variance	80595.34706
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
100	11	0.4%
114	10	0.3%
82	9	0.3%
86	9	0.3%
73	9	0.3%
136	8	0.3%
75	8	0.3%
60	8	0.3%
88	8	0.3%
130	7	0.2%
Other values (1968)	2881	97.1%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
1	2	0.1%
2	1	< 0.1%
3.333333333	1	< 0.1%
5.333333333	1	< 0.1%
5.666666667	1	< 0.1%
6.142857143	1	< 0.1%
7.5	1	< 0.1%
9	1	< 0.1%
9.5	1	< 0.1%
11	1	< 0.1%

Value	Count	Frequency (%)
6009.333333	1	< 0.1%
4282	1	< 0.1%
3906	1	< 0.1%
3868.65	1	< 0.1%
2880	1	< 0.1%
2801	1	< 0.1%
2733.944444	1	< 0.1%
2518.769231	1	< 0.1%
2160.333333	1	< 0.1%
2082.225806	1	< 0.1%

avg_unique_basket_size
Real number (ℝ_≥0)

HIGH CORRELATION
HIGH CORRELATION
HIGH CORRELATION

Distinct	268
Distinct (%)	9.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%
Mean	3.118996421

Minimum	0.1764705882
Maximum	16
Zeros	0
Zeros (%)	0.0%
Negative	0
Negative (%)	0.0%
Memory size	23.3 KiB

Quantile statistics

Minimum	0.1764705882
5-th percentile	0.95
Q1	1.8
median	2.75
Q3	4
95-th percentile	6.5
Maximum	16
Range	15.82352941
Interquartile range (IQR)	2.2

Descriptive statistics

Standard deviation	1.833650164
Coefficient of variation (CV)	0.5878974888
Kurtosis	3.642014851
Mean	3.118996421
Median Absolute Deviation (MAD)	1.083333333
Skewness	1.430768983
Sum	9257.181378
Variance	3.362272923
Monotonicity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
3	204	6.9%
2	200	6.7%
4	163	5.5%
5	142	4.8%
3.5	136	4.6%
4.5	113	3.8%
2.5	111	3.7%
6	82	2.8%
3.333333333	71	2.4%
1	70	2.4%
Other values (258)	1676	56.5%

Minimum 10 values
Maximum 10 values

Value	Count	Frequency (%)
0.1764705882	1	< 0.1%
0.2211055276	1	< 0.1%
0.2727272727	1	< 0.1%
0.2766990291	1	< 0.1%
0.2790697674	1	< 0.1%
0.2820512821	1	< 0.1%
0.3306451613	1	< 0.1%
0.3333333333	4	0.1%
0.3402061856	1	< 0.1%
0.3626373626	1	< 0.1%

Value	Count	Frequency (%)
16	1	< 0.1%
14	3	0.1%
13.5	1	< 0.1%
12	1	< 0.1%
11	9	0.3%
10	7	0.2%
9.5	1	< 0.1%
9	16	0.5%
8.5	2	0.1%
8	34	1.1%

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

A simple visualization of nullity by column.

Nullity matrix is a data-dense display which lets you quickly visually pick out patterns in data completion.

First rows

	df_index	customer_id	gross_revenue	recency_days	qty_invoices	qty_itemns	qty_products	avg_ticket	avg_recency_days	frequency	qty_returns	avg_basket_size	avg_unique_basket_size
0	0	17850	5391.21	372.0	34.0	1733.0	297.0	18.152222	35.500000	17.000000	40.0	50.970588	0.176471
1	1	13047	3232.59	56.0	9.0	1390.0	171.0	18.904035	27.250000	0.028302	35.0	154.444444	1.222222
2	2	12583	6705.38	2.0	15.0	5028.0	232.0	28.902500	23.187500	0.040323	50.0	335.200000	1.600000
3	3	13748	948.25	95.0	5.0	439.0	28.0	33.866071	92.666667	0.017921	0.0	87.800000	1.600000
4	4	15100	876.00	333.0	3.0	80.0	3.0	292.000000	8.600000	0.073171	22.0	26.666667	0.666667
5	5	15291	4623.30	25.0	14.0	2102.0	102.0	45.326471	23.200000	0.040115	29.0	150.142857	1.214286
6	6	14688	5630.87	7.0	21.0	3621.0	327.0	17.219786	18.300000	0.057221	399.0	172.428571	1.142857
7	7	17809	5411.91	16.0	12.0	2057.0	61.0	88.719836	35.700000	0.033520	41.0	171.416667	1.916667
8	8	15311	60767.90	0.0	91.0	38194.0	2379.0	25.543464	4.144444	0.243316	474.0	419.714286	0.472527
9	9	16098	2005.63	87.0	7.0	613.0	67.0	29.934776	47.666667	0.024390	0.0	87.571429	2.142857

Last rows

	df_index	customer_id	gross_revenue	recency_days	qty_invoices	qty_itemns	qty_products	avg_ticket	avg_recency_days	frequency	qty_returns	avg_basket_size	avg_unique_basket_size
2958	5626	17727	1060.25	15.0	1.0	645.0	66.0	16.064394	6.0	1.000000	6.0	645.000000	11.0
2959	5636	17232	421.52	2.0	2.0	203.0	36.0	11.708889	12.0	0.153846	0.0	101.500000	5.0
2960	5637	17468	137.00	10.0	2.0	116.0	5.0	27.400000	4.0	0.400000	0.0	58.000000	1.0
2961	5648	13596	697.04	5.0	2.0	406.0	166.0	4.199036	7.0	0.250000	0.0	203.000000	5.0
2962	5654	14893	1237.85	9.0	2.0	799.0	73.0	16.956849	2.0	0.666667	0.0	399.500000	7.0
2963	5658	12479	473.20	11.0	1.0	382.0	30.0	15.773333	4.0	1.000000	34.0	382.000000	8.0
2964	5679	14126	706.13	7.0	3.0	508.0	15.0	47.075333	3.0	0.750000	50.0	169.333333	2.0
2965	5685	13521	1092.39	1.0	3.0	733.0	435.0	2.511241	4.5	0.300000	0.0	244.333333	3.0
2966	5695	15060	301.84	8.0	4.0	262.0	120.0	2.515333	1.0	2.000000	0.0	65.500000	2.0
2967	5714	12558	269.96	7.0	1.0	196.0	11.0	24.541818	6.0	1.000000	196.0	196.000000	5.0

Overview

Variables

Interactions

Correlations

Spearman's ρ

Pearson's r

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows